
Byron S. answered 11/02/14
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Math and Science Tutor with an Engineering Background
Even though you've listed it second, you need to do part a) before part b)
Simple interest is calculated by multiplying the amount invested P by the interest rate r times the number of years invested t.
I = P r t
a) The first investment has a principal of P = $2,000, r = 4% = 0.04, t = 1 yr
I = 2000 * 0.04 * 1
The second investment has a principal P = $6,000, interest rate r = 9% = 0.09 and time t = 1yr
I = 6000 * 0.09 * 1
Add these up to find your total interest.
b) The overall interest rate can be found by dividing
Total Interest / Total Invested
= (answer from a) / (2000 + 6000)